Question

substitution method 2x+3y=1
5x-2y=11/12
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Answer 1

Answer:

x=  -1/4 ,y=1/6

Step-by-step explanation:

2x+3y=1 ...........................(1)

x=(1-3y)/2  

putting in 5x-2y=11/12

(5-15y)/2-2y=11/12

5-15y-4y=11/6

19y=19/6

y=1/6

now, putting the value of in the equation (1)

we get, x=-1/4

Answer 2

Answer:

$2x + 3y = 1 \: \: ........ \: \: (1)\\ 5x - 2y = \frac{11}{12} \: \: \: ......(2) \\ from \: equation \: (1) \\ 2x + 3y = 1 \\ = > 2x = 1 - 3y \\ = > x = \frac{1 - 3y}{2} \\ \\ now \: putting \: the \: values \: of \: x \: in \: equation \: (2) \\ 5x - 2y = \frac{11}{12} \\ = > 5( \frac{1 - 3y}{2} ) - 2y = \frac{11}{12 } \\ = > \frac{5 - 15y}{2} - 2y = \frac{11}{12} \\ = > \frac{5 - 15y - 10y}{2} = \frac{11}{12 } \\ = > 5 - 25y = \frac{11}{6} \\ = > 25y = 5 - \frac{11}{6} \\ = > 25y = \frac{30 - 11}{6} \\ = > y = \frac{19}{25 \times 6} \\ = > y = \frac{19}{150} \\ again \: from \: equation \: (1) \\ 2x + 3y = 1 \\ = > 2x = 1 - 3 \times \frac{19}{150} \\ = > 2x = \frac{150 - 57}{150} \\ = > x = \frac{93}{300}$